OFFSET
1,8
COMMENTS
Number of partitions of 2n in two parts with identical prime signatures. Conjecture: (1) No term is zero for n > 3. (2) Every number k appears a finitely many times in the sequence. I.e., for every k there exists a number f(k) such that for all n > f(k), a(n) > k. Subsidiary sequence: the frequency of n.
LINKS
Charlie Neder, Table of n, a(n) for n = 1..1000
EXAMPLE
a(12) = 4. The four values r can take are 1,2,5 and 7, giving the four pairs of numbers with identical prime signatures; (11,13),(10,14),(7,17) and (5,19).
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Amarnath Murthy, Apr 16 2004
EXTENSIONS
More terms from Joshua Zucker, Jul 24 2006
STATUS
approved